Ricci solitons on Lorentzian manifolds with large isometry groups

By W. Batat, Miguel Brozos-Vázquez, E. García‐Río, S. Gavino-Fernández. 2010

59 citations recorded by the source corpus.

We show that Lorentzian manifolds whose isometry group is of dimension at least ½n(n−1)+1 admit different vector fields resulting in expanding, steady and shrinking Ricci solitons. Moreover, it is proved that those Ricci solitons are gradient (only) in the steady case. This provides examples of complete locally conformally flat and symmetric Lorentzian gradient Ricci solitons that are not rigid.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/217f4a07c9ea07f42da39c86a358f6c86d623eee

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In Applied Mathematics

1. K. Onda
2. W. Batat

In Astronomy and Astrophysics

1. K. Onda
2. W. Batat

Citations in the corpus

• Examples of Algebraic Ricci Solitons in the Pseudo-Riemannian Case (2011, result): “Other results about Lorentzian Ricci solitons are found in [2], [4], [6].”
• Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups (2011, result): “Furthermore, other results of Lorentzian Ricci solitons are found in [2], [5].”